Computational Algorithm Based upon Dirichlet Boundary Conditions: Applications to Neutron Holograms

Ignacio Molina de la Peña (), Maria L. Calvo and Ramón F. Alvarez-Estrada
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Ignacio Molina de la Peña: Consejo de Seguridad Nuclear, Subdirección de Ingeniería, 28040 Madrid, Spain
Maria L. Calvo: Department of Optics, Faculty of Physics Sciences, Complutense University of Madrid, 28040 Madrid, Spain
Ramón F. Alvarez-Estrada: Department of Theoretical Physics, Faculty of Physics Sciences, Complutense University of Madrid, 28040 Madrid, Spain

Mathematics, 2025, vol. 13, issue 5, 1-17

Abstract: Neutron optics is a branch of both neutron physics and quantum physics that focuses on the study of the optical properties of slow neutrons and their dual behavior as both waves and particles. In previous research, we developed a mathematical framework based on Dirichlet boundary conditions to describe the propagation of slow neutrons in space. This approach facilitated the creation of an innovative algorithm distinguished by its computational efficiency and versatility. We applied this algorithm to the digital computation of hologram recording and reconstruction for wavelengths typical of thermal neutrons. The results demonstrate that the algorithm provides significant advantages, including rapid computation and broad applicability. It effectively handles scenarios analogous to those encountered in classical holography and shows promise for extension to other areas of physical interest.

Keywords: neutron beams propagation; Dirichlet boundary conditions; computational techniques; holography (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2025
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